Arbitrary Crest Factor / Kurtosis Noise Generation with Matlab Implementation

Arbitrary crest factor or kurtosis noise generation via temporal processing of white noise.

The present codes are a set of Matlab functions that provides a generation of noise signal with arbitrary crest factor or kurtosis.
Two examples are given in order to clarify the usage of the function. The input and output arguments are given in the beginning of the codes. The generated signal has a crest factor within +/- 0.1 dB (+/- 1,16 %) of desired one and +/- 1 % of desired kurtosis, unity standard deviation and zero mean value.

The code is based on the theory described in:

[1] D. Smallwood. Generating non-Gaussian vibration for testing purposes. Sound and Vibration, Vol. 39, No. 10, 2005, pp. 18-23.

[2] D. Smallwood. Generation of Stationary Non-Gaussian Time Histories with a Specified Cross-spectral Density. Shock and Vibration, Vol. 4, No. 5-6, 1997, pp. 361-377.